100112201021313 has 48 divisors (see below), whose sum is σ = 162547262701824. Its totient is φ = 58912131358080.

The previous prime is 100112201021297. The next prime is 100112201021321. The reversal of 100112201021313 is 313120102211001.

100112201021313 is a `hidden beast` number, since 100 + 1 + 1 + 220 + 10 + 21 + 313 = 666.

It is not a de Polignac number, because 100112201021313 - 2⁴ = 100112201021297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100112201021363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4150095 + ... + 14746107.

It is an arithmetic number, because the mean of its divisors is an integer number (3386401306288).

Almost surely, 2^{100112201021313} is an apocalyptic number.

100112201021313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100112201021313 is a deficient number, since it is larger than the sum of its proper divisors (62435061680511).

100112201021313 is a wasteful number, since it uses less digits than its factorization.

100112201021313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10599566 (or 10599563 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100112201021313 its reverse (313120102211001), we get a palindrome (413232303232314).

The spelling of 100112201021313 in words is "one hundred trillion, one hundred twelve billion, two hundred one million, twenty-one thousand, three hundred thirteen".